{"id":16645,"date":"2026-02-18T10:15:35","date_gmt":"2026-02-18T16:15:35","guid":{"rendered":"https:\/\/uwm.edu\/math\/?post_type=tribe_events&#038;p=16645"},"modified":"2026-02-23T09:04:34","modified_gmt":"2026-02-23T15:04:34","slug":"colloquium-dr-steve-butler","status":"publish","type":"tribe_events","link":"https:\/\/uwm.edu\/math\/event\/colloquium-dr-steve-butler\/","title":{"rendered":"Colloquium: Dr. Steve Butler"},"content":{"rendered":"<h1><span data-olk-copy-source=\"MessageBody\">A Short Course in Spectral Graph Theory<\/span><\/h1>\n<p>Prof. Steve Butler<br \/>\nMorrill Professor of Mathematics<br \/>\nIowa State University<\/p>\n<p>Graphs are used to model relationships (edges) between objects (vertices). A graph&#8217;s structure can efficiently stored in an array format. We can go one step further and replace arrays by matrices (which are arrays with benefits!), the eigenvalues of these matrices tell us some information about the graph. The extent to which we can understand the structure of the graph from these eigenvalues is spectral graph theory. We will do a quick walk through of some of the flavors of matrices that are studied in spectral graph theory, and some results that arise from their study.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A Short Course in Spectral Graph Theory Prof. Steve Butler Morrill Professor of Mathematics Iowa State University Graphs are used to model relationships (edges) between objects (vertices). A graph&#8217;s structure can efficiently stored in an array format. We can go &hellip;<\/p>\n","protected":false},"author":30596,"featured_media":0,"template":"","meta":{"_acf_changed":false,"_tribe_events_status":"","_tribe_events_status_reason":"","_tribe_events_is_hybrid":"","_tribe_events_is_virtual":"","_tribe_events_virtual_video_source":"","_tribe_events_virtual_embed_video":"","_tribe_events_virtual_linked_button_text":"","_tribe_events_virtual_linked_button":"","_tribe_events_virtual_show_embed_at":"","_tribe_events_virtual_show_embed_to":[],"_tribe_events_virtual_show_on_event":"","_tribe_events_virtual_show_on_views":"","_tribe_events_virtual_url":"","footnotes":"","uwm_wg_additional_authors":[]},"tags":[],"tribe_events_cat":[41],"class_list":["post-16645","tribe_events","type-tribe_events","status-publish","hentry","tribe_events_cat-colloquia","cat_colloquia"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.2 (Yoast SEO v27.2) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>Mathematical Sciences<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/uwm.edu\/math\/event\/colloquium-dr-steve-butler\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Colloquium: Dr. Steve Butler\" \/>\n<meta property=\"og:description\" content=\"A Short Course in Spectral Graph Theory Prof. Steve Butler Morrill Professor of Mathematics Iowa State University Graphs are used to model relationships (edges) between objects (vertices). 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